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Homework Help: Standing waves and resonance frequency

  1. Dec 20, 2008 #1
    1. The problem statement, all variables and given/known data
    Hi all.

    I have shown that standing waves occur on a string of length L (fastened at x=0 and x=L) for angular frequencies:

    [tex]
    \omega_n=n\frac{v\pi}{L}.
    [/tex]

    Are these frequencies the same as the strings resonance frequencies?

    Thanks in advance.

    Regards,
    Niles.
     
  2. jcsd
  3. Dec 20, 2008 #2

    LowlyPion

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  4. Dec 20, 2008 #3
    Hmm, not really. I'm just wondering if the above frequencies are the resonant frequencies of the string.
     
  5. Dec 20, 2008 #4

    Redbelly98

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    Yes. According to LowlyPion's link, standing waves are pretty much synonymous with a string's resonant modes.
     
  6. Dec 20, 2008 #5
    Im gonna highjack this thread and say that redbelly has the best icon of all time... im not sure why but im laughing hysterically at the sight of a bird wrapped in Christmas lights hahah
     
  7. Dec 20, 2008 #6
    Hmm, yeah.. I guess it does say indirectly.

    Thanks to all.
     
  8. Dec 20, 2008 #7

    Redbelly98

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    Thanks!

    You're welcome.
     
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